Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×D₆⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×D₆⋊C₄

		d	ρ	Label	ID
C₁₀×D₆⋊C₄		240		C10xD6:C4	480,806

Semidirect products G=N:Q with N=C₅ and Q=C₂×D₆⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×D₆⋊C₄) = C₂×D₆⋊F₅	φ: C₂×D₆⋊C₄/C₂²×S₃ → C₄ ⊆ Aut C₅	120		C5:(C2xD6:C4)	480,1000
C₅⋊₂(C₂×D₆⋊C₄) = D₅×D₆⋊C₄	φ: C₂×D₆⋊C₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	120		C5:2(C2xD6:C4)	480,547
C₅⋊₃(C₂×D₆⋊C₄) = C₂×D₃₀⋊₄C₄	φ: C₂×D₆⋊C₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:3(C2xD6:C4)	480,616
C₅⋊₄(C₂×D₆⋊C₄) = C₂×D₃₀⋊₃C₄	φ: C₂×D₆⋊C₄/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C2xD6:C4)	480,892
C₅⋊₅(C₂×D₆⋊C₄) = C₂×D₆⋊Dic₅	φ: C₂×D₆⋊C₄/S₃×C₂³ → C₂ ⊆ Aut C₅	240		C5:5(C2xD6:C4)	480,614

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